Question

Evaluate using identities 52*57​

Answer 1

Answer:

2964

Step-by-step explanation:

By using distributive property we get

(50+2)*(50+7)

Using the identity (x+a)(x+b)=x²+x(a+b)+ab

=2500+50(2+7)+2*7

=2500+450+14

=2964

Answer 2

The suitable identity is

(x+a) (x+b) = x² + x(a+ b) + ab

52×57 = (50+ 2) (50+7)

x= a, a = 2, b = 7

50² + 50(2+7) + 2×7

= 2500 + 50(9) + 14

= 2500 + 450 + 14

= 2964